(adsbygoogle = window.adsbygoogle || []).push({}); [Solved]Length formula to find lengths between 2 pts(complex numbers),what's wrong?

1. The problem statement, all variables and given/known data

I've 3 pts U(2i),A(-√3 -i) & B(√3-i),all complex numbers.A question asks me to prove UAB is equilateral.

2. Relevant equations

|AB|=√{(b-a)^2} for finding lengths.

3. The attempt at a solution

So I try to find two of it's lengths AB and UA.

|AB|=√(b-a)^2

=√{4(3)}

=√12

|UA|=√{a-u}^2

=√(-√3-3i)^2

=√(3-9)

=√-6

The two lengths not same,what's wrong here?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: My way of finding lengths between 2 pts(complex numbers),what's wrong?

**Physics Forums | Science Articles, Homework Help, Discussion**